In: Statistics and Probability
A national study found that college students spend an average of 150 ( = 150) studying during their first semester. A group of 41 AAMU students participated in The AAMU summer bridge students studied an average of 146 hours (M = 146) during their first semester. With a sum of squared deviations of 2,367 (SS – 2,367) and a significance level of α = .01, did the summer bridge students differ in the number of hours studied compared to college freshmen nationally?
: Average number of hours spent studying
Hypothesized mean : =150
Null hypothesis : Ho : Average number of hours studied by summer bridge students = Average number of hours studied by college freshmen nationally ;
Alternate hypothesis : Ha :
Given,
Sample Size : n =41
Sample mean : : Average number of hours studied by AAMU summer bridge students = 146 hours
Sample standard deviation : s
Degrees of freedom = n-1 = 41-1=40
p-value for two-tailed test:
As P-Value i.e. is less than Level of significance i.e
(P-value:0.0019 < 0.05:Level of significance); Reject Null
Hypothesis
There is sufficient evidence to conclude that the summer bridge
students differ in the number of hours studied compared to college
freshmen nationally